Datasets:
yimingzhang
/
prime-factorization

Dataset card Data Studio Files
xet
Community
input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
2549260
2 2 5 7 131 139
[ "2549260 2 1274630", "1274630 2 637315", "637315 5 127463", "127463 7 18209", "18209 131 139", "139 139 1" ]
2325961
11 19 31 359
[ "2325961 11 211451", "211451 19 11129", "11129 31 359", "359 359 1" ]
4407280
2 2 2 2 5 89 619
[ "4407280 2 2203640", "2203640 2 1101820", "1101820 2 550910", "550910 2 275455", "275455 5 55091", "55091 89 619", "619 619 1" ]
3377370
2 3 5 103 1093
[ "3377370 2 1688685", "1688685 3 562895", "562895 5 112579", "112579 103 1093", "1093 1093 1" ]
4329442
2 13 13 12809
[ "4329442 2 2164721", "2164721 13 166517", "166517 13 12809", "12809 12809 1" ]
2723227
13 47 4457
[ "2723227 13 209479", "209479 47 4457", "4457 4457 1" ]
3206008
2 2 2 13 29 1063
[ "3206008 2 1603004", "1603004 2 801502", "801502 2 400751", "400751 13 30827", "30827 29 1063", "1063 1063 1" ]
2500640
2 2 2 2 2 5 15629
[ "2500640 2 1250320", "1250320 2 625160", "625160 2 312580", "312580 2 156290", "156290 2 78145", "78145 5 15629", "15629 15629 1" ]
2663685
3 3 3 3 5 6577
[ "2663685 3 887895", "887895 3 295965", "295965 3 98655", "98655 3 32885", "32885 5 6577", "6577 6577 1" ]
4382244
2 2 3 3 41 2969
[ "4382244 2 2191122", "2191122 2 1095561", "1095561 3 365187", "365187 3 121729", "121729 41 2969", "2969 2969 1" ]
3585646
2 31 151 383
[ "3585646 2 1792823", "1792823 31 57833", "57833 151 383", "383 383 1" ]
4601710
2 5 460171
[ "4601710 2 2300855", "2300855 5 460171", "460171 460171 1" ]
4822348
2 2 257 4691
[ "4822348 2 2411174", "2411174 2 1205587", "1205587 257 4691", "4691 4691 1" ]
4317197
37 116681
[ "4317197 37 116681", "116681 116681 1" ]
1116370
2 5 111637
[ "1116370 2 558185", "558185 5 111637", "111637 111637 1" ]
3716806
2 1858403
[ "3716806 2 1858403", "1858403 1858403 1" ]
1128591
3 3 125399
[ "1128591 3 376197", "376197 3 125399", "125399 125399 1" ]
947204
2 2 43 5507
[ "947204 2 473602", "473602 2 236801", "236801 43 5507", "5507 5507 1" ]
720741
3 7 7 4903
[ "720741 3 240247", "240247 7 34321", "34321 7 4903", "4903 4903 1" ]
1277805
3 5 17 5011
[ "1277805 3 425935", "425935 5 85187", "85187 17 5011", "5011 5011 1" ]
1122353
79 14207
[ "1122353 79 14207", "14207 14207 1" ]
390503
390503
[ "390503 390503 1" ]
2467281
3 599 1373
[ "2467281 3 822427", "822427 599 1373", "1373 1373 1" ]
3328279
373 8923
[ "3328279 373 8923", "8923 8923 1" ]
3372033
3 7 7 7 29 113
[ "3372033 3 1124011", "1124011 7 160573", "160573 7 22939", "22939 7 3277", "3277 29 113", "113 113 1" ]
3709017
3 3 3 13 10567
[ "3709017 3 1236339", "1236339 3 412113", "412113 3 137371", "137371 13 10567", "10567 10567 1" ]
4531808
2 2 2 2 2 141619
[ "4531808 2 2265904", "2265904 2 1132952", "1132952 2 566476", "566476 2 283238", "283238 2 141619", "141619 141619 1" ]
74170
2 5 7417
[ "74170 2 37085", "37085 5 7417", "7417 7417 1" ]
2647401
3 457 1931
[ "2647401 3 882467", "882467 457 1931", "1931 1931 1" ]
2096321
17 317 389
[ "2096321 17 123313", "123313 317 389", "389 389 1" ]
2363065
5 29 43 379
[ "2363065 5 472613", "472613 29 16297", "16297 43 379", "379 379 1" ]
3187343
3187343
[ "3187343 3187343 1" ]
538360
2 2 2 5 43 313
[ "538360 2 269180", "269180 2 134590", "134590 2 67295", "67295 5 13459", "13459 43 313", "313 313 1" ]
1074753
3 3 119417
[ "1074753 3 358251", "358251 3 119417", "119417 119417 1" ]
2552192
2 2 2 2 2 2 2 127 157
[ "2552192 2 1276096", "1276096 2 638048", "638048 2 319024", "319024 2 159512", "159512 2 79756", "79756 2 39878", "39878 2 19939", "19939 127 157", "157 157 1" ]
4583321
4583321
[ "4583321 4583321 1" ]
1720802
2 29 29669
[ "1720802 2 860401", "860401 29 29669", "29669 29669 1" ]
3519750
2 3 5 5 5 13 19 19
[ "3519750 2 1759875", "1759875 3 586625", "586625 5 117325", "117325 5 23465", "23465 5 4693", "4693 13 361", "361 19 19", "19 19 1" ]
1573405
5 31 10151
[ "1573405 5 314681", "314681 31 10151", "10151 10151 1" ]
2019413
11 17 10799
[ "2019413 11 183583", "183583 17 10799", "10799 10799 1" ]
2516974
2 1258487
[ "2516974 2 1258487", "1258487 1258487 1" ]
1155598
2 577799
[ "1155598 2 577799", "577799 577799 1" ]
4754316
2 2 3 7 56599
[ "4754316 2 2377158", "2377158 2 1188579", "1188579 3 396193", "396193 7 56599", "56599 56599 1" ]
4631548
2 2 17 68111
[ "4631548 2 2315774", "2315774 2 1157887", "1157887 17 68111", "68111 68111 1" ]
4465552
2 2 2 2 7 13 3067
[ "4465552 2 2232776", "2232776 2 1116388", "1116388 2 558194", "558194 2 279097", "279097 7 39871", "39871 13 3067", "3067 3067 1" ]
1568942
2 784471
[ "1568942 2 784471", "784471 784471 1" ]
3621657
3 13 92863
[ "3621657 3 1207219", "1207219 13 92863", "92863 92863 1" ]
929964
2 2 3 7 11071
[ "929964 2 464982", "464982 2 232491", "232491 3 77497", "77497 7 11071", "11071 11071 1" ]
2021327
7 11 26251
[ "2021327 7 288761", "288761 11 26251", "26251 26251 1" ]
2431707
3 317 2557
[ "2431707 3 810569", "810569 317 2557", "2557 2557 1" ]
48707
53 919
[ "48707 53 919", "919 919 1" ]
3728408
2 2 2 19 19 1291
[ "3728408 2 1864204", "1864204 2 932102", "932102 2 466051", "466051 19 24529", "24529 19 1291", "1291 1291 1" ]
207448
2 2 2 25931
[ "207448 2 103724", "103724 2 51862", "51862 2 25931", "25931 25931 1" ]
1616873
181 8933
[ "1616873 181 8933", "8933 8933 1" ]
4824015
3 5 7 45943
[ "4824015 3 1608005", "1608005 5 321601", "321601 7 45943", "45943 45943 1" ]
2962666
2 7 211619
[ "2962666 2 1481333", "1481333 7 211619", "211619 211619 1" ]
3425664
2 2 2 2 2 2 2 3 11 811
[ "3425664 2 1712832", "1712832 2 856416", "856416 2 428208", "428208 2 214104", "214104 2 107052", "107052 2 53526", "53526 2 26763", "26763 3 8921", "8921 11 811", "811 811 1" ]
3249956
2 2 47 59 293
[ "3249956 2 1624978", "1624978 2 812489", "812489 47 17287", "17287 59 293", "293 293 1" ]
986836
2 2 246709
[ "986836 2 493418", "493418 2 246709", "246709 246709 1" ]
4104815
5 11 13 5741
[ "4104815 5 820963", "820963 11 74633", "74633 13 5741", "5741 5741 1" ]
1872220
2 2 5 7 43 311
[ "1872220 2 936110", "936110 2 468055", "468055 5 93611", "93611 7 13373", "13373 43 311", "311 311 1" ]
1689274
2 47 17971
[ "1689274 2 844637", "844637 47 17971", "17971 17971 1" ]
4486052
2 2 19 67 881
[ "4486052 2 2243026", "2243026 2 1121513", "1121513 19 59027", "59027 67 881", "881 881 1" ]
3920565
3 5 11 23761
[ "3920565 3 1306855", "1306855 5 261371", "261371 11 23761", "23761 23761 1" ]
2625679
7 375097
[ "2625679 7 375097", "375097 375097 1" ]
1448940
2 2 3 5 19 31 41
[ "1448940 2 724470", "724470 2 362235", "362235 3 120745", "120745 5 24149", "24149 19 1271", "1271 31 41", "41 41 1" ]
2663830
2 5 13 31 661
[ "2663830 2 1331915", "1331915 5 266383", "266383 13 20491", "20491 31 661", "661 661 1" ]
747327
3 7 19 1873
[ "747327 3 249109", "249109 7 35587", "35587 19 1873", "1873 1873 1" ]
2037001
67 30403
[ "2037001 67 30403", "30403 30403 1" ]
2215313
2215313
[ "2215313 2215313 1" ]
1187843
67 17729
[ "1187843 67 17729", "17729 17729 1" ]
1799036
2 2 449759
[ "1799036 2 899518", "899518 2 449759", "449759 449759 1" ]
4620745
5 37 24977
[ "4620745 5 924149", "924149 37 24977", "24977 24977 1" ]
1848356
2 2 167 2767
[ "1848356 2 924178", "924178 2 462089", "462089 167 2767", "2767 2767 1" ]
1897584
2 2 2 2 3 13 3041
[ "1897584 2 948792", "948792 2 474396", "474396 2 237198", "237198 2 118599", "118599 3 39533", "39533 13 3041", "3041 3041 1" ]
3377132
2 2 11 76753
[ "3377132 2 1688566", "1688566 2 844283", "844283 11 76753", "76753 76753 1" ]
4666170
2 3 5 155539
[ "4666170 2 2333085", "2333085 3 777695", "777695 5 155539", "155539 155539 1" ]
967167
3 3 3 113 317
[ "967167 3 322389", "322389 3 107463", "107463 3 35821", "35821 113 317", "317 317 1" ]
3446507
97 35531
[ "3446507 97 35531", "35531 35531 1" ]
3352947
3 13 149 577
[ "3352947 3 1117649", "1117649 13 85973", "85973 149 577", "577 577 1" ]
4936217
11 13 34519
[ "4936217 11 448747", "448747 13 34519", "34519 34519 1" ]
3384637
3384637
[ "3384637 3384637 1" ]
568056
2 2 2 3 23669
[ "568056 2 284028", "284028 2 142014", "142014 2 71007", "71007 3 23669", "23669 23669 1" ]
2740427
19 23 6271
[ "2740427 19 144233", "144233 23 6271", "6271 6271 1" ]
988938
2 3 3 54941
[ "988938 2 494469", "494469 3 164823", "164823 3 54941", "54941 54941 1" ]
2079287
7 17 101 173
[ "2079287 7 297041", "297041 17 17473", "17473 101 173", "173 173 1" ]
3893827
7 556261
[ "3893827 7 556261", "556261 556261 1" ]
2386642
2 29 41149
[ "2386642 2 1193321", "1193321 29 41149", "41149 41149 1" ]
4479887
71 63097
[ "4479887 71 63097", "63097 63097 1" ]
3397848
2 2 2 3 31 4567
[ "3397848 2 1698924", "1698924 2 849462", "849462 2 424731", "424731 3 141577", "141577 31 4567", "4567 4567 1" ]
4553159
13 71 4933
[ "4553159 13 350243", "350243 71 4933", "4933 4933 1" ]
959256
2 2 2 3 3 3 4441
[ "959256 2 479628", "479628 2 239814", "239814 2 119907", "119907 3 39969", "39969 3 13323", "13323 3 4441", "4441 4441 1" ]
4184765
5 13 64381
[ "4184765 5 836953", "836953 13 64381", "64381 64381 1" ]
2519394
2 3 599 701
[ "2519394 2 1259697", "1259697 3 419899", "419899 599 701", "701 701 1" ]
359905
5 7 7 13 113
[ "359905 5 71981", "71981 7 10283", "10283 7 1469", "1469 13 113", "113 113 1" ]
3222360
2 2 2 3 3 5 8951
[ "3222360 2 1611180", "1611180 2 805590", "805590 2 402795", "402795 3 134265", "134265 3 44755", "44755 5 8951", "8951 8951 1" ]
4579936
2 2 2 2 2 17 8419
[ "4579936 2 2289968", "2289968 2 1144984", "1144984 2 572492", "572492 2 286246", "286246 2 143123", "143123 17 8419", "8419 8419 1" ]
1437808
2 2 2 2 73 1231
[ "1437808 2 718904", "718904 2 359452", "359452 2 179726", "179726 2 89863", "89863 73 1231", "1231 1231 1" ]
2921970
2 3 5 173 563
[ "2921970 2 1460985", "1460985 3 486995", "486995 5 97399", "97399 173 563", "563 563 1" ]
537565
5 7 15359
[ "537565 5 107513", "107513 7 15359", "15359 15359 1" ]